For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.) The line passes through the points ( − 2 , − 6 ) and ( 1 , 0 ) .
For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.) The line passes through the points ( − 2 , − 6 ) and ( 1 , 0 ) .
Solution Summary: The author explains how to calculate the equation of Line passing through points using point-slope formula.
For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information. (See Example 2.)
The line passes through the points
(
−
2
,
−
6
)
and
(
1
,
0
)
.
Formula Formula Point-slope equation: The point-slope equation of a line passing through the point (x 1 , y 1 ) with slope m , is given by the following formula: y - y 1 = m x - x 1 Example: The point-slope equation of a line passing through (2, -6) with slope 5 is given by: y - (-6) = 5(x - 2) y + 6 = 5(x - 2)
In Exercises 5–20, find the equation of each of the lines with the given
properties. Sketch the graph of each line.
Exercises 83–86: The table lists data that are exactly linear.
a. Find the slope-intercept form of the line that passes through these
data points.
b. Predict y when x = -2.7 and 6.3. Decide if these calculations
involve interpolation or extrapolation.
-3
-2
-1
1
83.
y
-7.7
-6.2
-4.7
-3.2
-1.7
For Exercises 25–36, determine the slope of the line passing through the given points. (See Example 2)
25. (4, –7) and (2, – 1)
26. (-3, –8) and (4, 6)
27. (17, 9) and (42, –6)
28. (-9, 4) and (-1, –6)
29. (30, –52) and (-22, –39)
30. (- 100, -16) and (84, 30)
31. (2.6, 4.1) аnd (9.5, —3.7)
32. (8.5, 6.2) аnd (-5.1, 7.9)
33.
6) and
35. (3 V6, 2V5) and (V6, V5)
36. (2VIT, –3V3) and (VTI, -5V3)
34.
-3,
and
4,
10
Introductory Algebra for College Students (7th Edition)
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